Enq {entropart} | R Documentation |

## Grassberger's expectation of n^q

### Description

Expected value of `n^q`

when `n`

follows a Poisson law.

### Usage

```
Enq(n, q)
```

### Arguments

`n` |
A positive integer vector. |

`q` |
A positive number. |

### Details

The expectation of `n^q`

when `n`

follows a Poisson ditribution has been derived by Grassberger (1988).

### Value

A vector of the same length as `n`

containing the transformed values.

### Note

The function is computed using the `beta`

.function.

Its value is 0 for `n-q+1<0`

.

### References

Grassberger, P. (1988). Finite sample corrections to entropy and dimension estimates. Physics Letters A 128(6-7): 369-373.

### Examples

```
# Compare
n <- c(2,3)
Enq(n, q=2)
# with
n^2
# Result is 1
Enq(n, q=0)
# Result is 0
Enq(n, q=5)
```

[Package

*entropart*version 1.6-13 Index]